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A generalized Kruskal-Wallis test for comparing K samples subject to unequal patterns of censorship
Abstract
A generalization of the Kruskal-Wallis test, which extends Gehan's generalization of Wilcoxon's test, is proposed for testing the equality of K continuous distribution functions when observations are subject to arbitrary right censorship. The distribution of the censoring variables is allowed to differ for different populations. An alternative statistic is proposed for use when the censoring distributions may be assumed equal. These statistics have asymptotic chi-squared distributions under their respective null hypotheses, whether the censoring variables are regarded as random or as fixed numbers. Asymptotic power and efficiency calculations are made and numerical examples provided.
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Citations
Cites
Use of Ranks in One-Criterion Variance Analysis
Kruskal, W. H., & Wallis, W. A. (1952) · Journal of the American Statistical Association · doi:10.1080/01621459.1952.10483441 · Cited by 13,912
Cited by
Regression Models and Life-Tables
Cox, D. R. (1972) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1972.tb00899.x · Cited by 39,793
Regression Models and Life-Tables
Cox, D. R. (1992) · Springer Series in Statistics · doi:10.1007/978-1-4612-4380-9_37 · Cited by 26,297
Rock, G. A., Shumak, K. H., Buskard, N. A., Blanchette, V. S., Kelton, J. G., Nair, R. C., & Spasoff, R. A. (1991) · New England Journal of Medicine · doi:10.1056/nejm199108083250604 · Cited by 1,920
Lánczky, A., & Győrffy, B. (2021) · Journal of Medical Internet Research · doi:10.2196/27633 · Cited by 1,694
Salivary neoplasms: Overview of a 35‐year experience with 2,807 patients
Spiro, R. H. (1986) · Head & Neck Surgery · doi:10.1002/hed.2890080309 · Cited by 1,455
Metadata
- Authors
- BRESLOW, N.
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1970
- Volume
- 57
- Issue
- 3
- Pages
- 579-594
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W2079708060
- Cited by
- 1,411
- References
- 1
- FWCI
- 5.56
- Type
- journal article
- Language
- en
- Open access
- closed
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- BRESLOW, N. (1970). A generalized Kruskal-Wallis test for comparing K samples subject to unequal patterns of censorship. Biometrika. https://doi.org/10.1093/biomet/57.3.579
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